Math Problem Statement
y=-3 x+y=9
Solution
To solve for in the system of equations:
- Substituting into the equation :
- Simplify:
- Add 3 to both sides:
Solution:
Do you have any questions, or would you like further details?
Here are 5 related questions to explore:
- How do you solve a system of linear equations with substitution?
- What are the graphical interpretations of these solutions?
- Can systems of equations have no solution or infinitely many solutions?
- What happens if you substitute with another value?
- How can we verify our solution?
Tip: Always check your solution by substituting the values back into the original equations.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Substitution Method
Formulas
Substitution method: replacing a variable with its value in one equation to solve for the other variable
Theorems
Basic principle of equality and solving linear systems
Suitable Grade Level
Grades 6-8
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